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Sergio039 [100]
3 years ago
13

Please help me on this question Algebra 1 question

Mathematics
1 answer:
Lostsunrise [7]3 years ago
3 0
Rational numbers are decimals that either terminate or repeat, and can be written as fractions, in which case A and E are rational
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A stop sign is a regular octagon. The standard stop sign has a 16.2 inch radius. The area of a standard stop sign is ___________
juin [17]

The area of standard stop sign regular octagon is 742.3 squared inches, if the standard stop sign has a 16.2 inch radius.

Step-by-step explanation:

The given is,

               Radius of standard stop sign is 16.2 inch radius

Step:1

              The regular octagon is equal to the 16 right angled triangle,

                    Angle of right angle triangle  = \frac{360}{16} = 22.5°

              Ref attachment,

              From the OAB right angle triangle,  

              Trigonometric ratio,

                                 sin ∅ = \frac{Opp}{Hyp}        

              Where, ∅ = 22.5°

                           Hyp = Radius = 16.2 inches

              Ratio becomes,

                           sin 22.5°= \frac{b}{16.2}

                                       b = (0.374607)(16.2)

                                       b = 6.19947 inches

             Trigonometric ratio,

                                 cos ∅ = \frac{Adj}{Hyp}        

              Where, ∅ = 22.5°

                           Hyp = Radius = 16.2 inches

                            Adj = h

              Ratio becomes,

                           cos 22.5°= \frac{h}{16.2}

                                       h = (0.9238795)(16.2)

                                       h = 14.967 inches

Step:2

           From the triangle OAC,

                             Area, A = \frac{1}{2} (Height )( Base)

          Where, Height = 14.967 inches

                       Base = b + x = 6.19947 + 6.19947

                                             = 12.3989 inches

           From the values equation becomes,

                                       A = \frac{1}{2} (14.967)(12.39894)

                                       A = 92.7875 Squared inches

Step:3

           The octagon is equal to sum of 8 triangles

            Area of octagon = 8 × Area of triangle

                                        = 8 × 92.7875

                                        = 742.3 squared inches

Result:

        The area of standard stop sign regular octagon is 742.3 squared inches, if the standard stop sign has a 16.2 inch radius.

 

                               

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Anya drove 2 hours to get to the train
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She would travel 1,234 miles. 2x14=110 80x55=1120+110= 1234 miles
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I need help which triangle theorem do I use for these
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Answer:

Step-by-step explanation: B. SSS because it shows us three sides ,C.RHS because it has a right angle, d. AAS because it shows us two sides and a non included side,  e. RHS because it has a right angle,  f. AAS because it has two angles and non included side.

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Find the arc length of a central angle of 7pi/3 in a circle whose radius is 3 inches.
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\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\ \hrulefill\\ r=3\\ \theta =\frac{7\pi }{3} \end{cases}\implies s=3\cdot \cfrac{7\pi }{3}\implies s=7\pi

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3 years ago
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Pentagon PQRST and its reflection, pentagon P'Q'R'S'T', are shown in the coordinate plane below:
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<span>I have graphed the given coordinates of both pentagons. The reflection was across the y-axis where coordinates of Pentagon PQRST (-x,y) resulted to Pentagon P'Q'R'S'T' (x,y). The line of reflection between the pentagons was x = 0. Line of reflection is the midway between the pre-image and its reflection.</span>
4 0
3 years ago
Read 2 more answers
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